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- Jonathan Brundan

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D-index
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
36
Citations
4,700
82
World Ranking
1810
National Ranking
777

2021 - Fellow of the American Mathematical Society For contributions to Lie theory and representation theory.

- Algebra
- Pure mathematics
- Representation theory

Pure mathematics, Symmetric group, Type, Algebra and Character are his primary areas of study. His study in the fields of Subalgebra, Category O and Lie algebra under the domain of Pure mathematics overlaps with other disciplines such as Weight Categories and Hecke operator. His Symmetric group research incorporates themes from Group and Conjecture.

His Conjecture research includes themes of Ground field, Isomorphism, Modular representation theory and Categorification. His Character research integrates issues from Trivial representation, Weight, Fundamental representation, Verma module and Lie superalgebra. As part of the same scientific family, Jonathan Brundan usually focuses on Lie superalgebra, concentrating on Irreducible representation and intersecting with Representation theory and Quantum group.

- Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras (284 citations)
- Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra (|) (220 citations)
- Graded decomposition numbers for cyclotomic Hecke algebras (171 citations)

His primary areas of study are Pure mathematics, Algebra, Type, Lie superalgebra and Symmetric group. Pure mathematics is a component of his Lie algebra, Universal enveloping algebra, Quotient, Conjecture and Affine transformation studies. Jonathan Brundan interconnects Brauer algebra, Generalized Verma module and Algebra over a field in the investigation of issues within Algebra.

The concepts of his Type study are interwoven with issues in Nilpotent, Categorification, Algebraic number and Rank. His biological study spans a wide range of topics, including Category O, Irreducible representation, Character and Nilpotent orbit. His work in Symmetric group covers topics such as Modular representation theory which are related to areas like Combinatorics.

- Pure mathematics (74.11%)
- Algebra (22.32%)
- Type (20.54%)

- Pure mathematics (74.11%)
- Quotient (9.82%)
- Monoidal category (8.93%)

His scientific interests lie mostly in Pure mathematics, Quotient, Monoidal category, Central charge and Morphism. His Pure mathematics study combines topics in areas such as Ring and Polynomial. While the research belongs to areas of Quotient, he spends his time largely on the problem of Zero, intersecting his research to questions surrounding Superalgebra.

His work deals with themes such as Algebraic group, Indecomposable module and Modulo, which intersect with Monoidal category. In his research on the topic of Affine transformation, Representation theory is strongly related with Diagram. His work carried out in the field of Categorification brings together such families of science as Structure, Type and Combinatorics.

- Semi-infinite highest weight categories (18 citations)
- The degenerate Heisenberg category and its Grothendieck ring (13 citations)
- On the definition of quantum Heisenberg category (11 citations)

- Algebra
- Pure mathematics
- Representation theory

Jonathan Brundan mainly investigates Pure mathematics, Central charge, Monoidal category, Zero and Affine transformation. His work on Lie algebra as part of general Pure mathematics study is frequently connected to Weight Categories, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His work on Universal enveloping algebra as part of general Lie algebra study is frequently linked to Degenerate energy levels, bridging the gap between disciplines.

Order, Characterization, Unital, Duality and Semi-infinite are fields of study that intersect with his Weight Categories research. His research ties Quotient and Zero together. Jonathan Brundan has included themes like Invertible matrix, Affine Hecke algebra, Generator, Morphism and Categorification in his Polynomial study.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra (|)

Jonathan Brundan.

Journal of the American Mathematical Society **(2002)**

341 Citations

Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra (|)

Jonathan Brundan.

Journal of the American Mathematical Society **(2002)**

341 Citations

Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras

Jonathan Brundan;Alexander S. Kleshchev.

Inventiones Mathematicae **(2009)**

334 Citations

Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras

Jonathan Brundan;Alexander S. Kleshchev.

Inventiones Mathematicae **(2009)**

334 Citations

HIGHEST WEIGHT CATEGORIES ARISING FROM KHOVANOV'S DIAGRAM ALGEBRA III: CATEGORY O

Jonathan Brundan;Catharina Stroppel.

Representation Theory of The American Mathematical Society **(2011)**

261 Citations

HIGHEST WEIGHT CATEGORIES ARISING FROM KHOVANOV'S DIAGRAM ALGEBRA III: CATEGORY O

Jonathan Brundan;Catharina Stroppel.

Representation Theory of The American Mathematical Society **(2011)**

261 Citations

Graded decomposition numbers for cyclotomic Hecke algebras

Jonathan Brundan;Alexander S. Kleshchev.

Advances in Mathematics **(2009)**

188 Citations

Graded decomposition numbers for cyclotomic Hecke algebras

Jonathan Brundan;Alexander S. Kleshchev.

Advances in Mathematics **(2009)**

188 Citations

Highest Weight Categories Arising from Khovanov's Diagram Algebra I: Cellularity

J. Brundan;C. Stroppel.

Moscow Mathematical Journal **(2011)**

185 Citations

Highest Weight Categories Arising from Khovanov's Diagram Algebra I: Cellularity

J. Brundan;C. Stroppel.

Moscow Mathematical Journal **(2011)**

185 Citations

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